Greatest Common Factor of 4984 and 4992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4984, 4992 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4984 and 4992 is 8.

GCF(4984,4992) = 8

GCF of 4984 and 4992

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4984 and 4992

GCF of 4984 and 4992 is 8

Prime Factorization of 4984


2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 4984 are 2,7,89. Prime factorization of 4984 in exponential form is:

4984 = 23×71×891

Prime Factorization of 4992


2 4992
2 2496
2 1248
2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 4992 are 2,3,13. Prime factorization of 4992 in exponential form is:

4992 = 27×31×131

∴ So by taking common prime factors GCF of 4984 and 4992 is 8

Greatest Common Factor of 4984 and 4992 by matching factors method

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Greatest Common Factor

We found the factors and prime factorization of 4984 and 4992. The biggest common factor number is the GCF number.
So the greatest common factor 4984 and 4992 is 8.

Also check out the Least Common Multiple of 4984 and 4992

Properties of GCF 4984 and 4992

(i) The GCF of 4984 and 4992 is associative

GCF of 4984 and 4992 = GCF of 4992 and 4984

Related Greatest Common Factor of 4984

Related Greatest Common Factor of 4992

Frequently Asked Questions on GCF of 4984 and 4992

1. What is the GCF of 4984 and 4992?

Answer: GCF of 4984 and 4992 is 8.

2. What are the Factors of 4984?

Answer: Factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984. There are 16 integers that are factors of 4984. The greatest factor of 4984 is 4984.

3. What are the Factors of 4992?

Answer: Factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992. There are 32 integers that are factors of 4992. The greatest factor of 4992 is 4992.

4. How to Find the GCF of 4984 and 4992?

Answer:

Greatest Common Factor of 4984 and 4992 = 8

Step 1: Find the prime factorization of 4984

4984 = 2 x 2 x 2 x 7 x 89

Step 2: Find the prime factorization of 4992

4992 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4984 and 4992 is 8