Greatest Common Factor of 1552 and 1560

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 1552, 1560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1552 and 1560 is 8.

GCF(1552,1560) = 8

GCF of 1552 and 1560

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

GCF of:
and

Greatest Common Factor of 1552 and 1560

GCF of 1552 and 1560 is 8

Prime Factorization of 1552


2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 1552 are 2,97. Prime factorization of 1552 in exponential form is:

1552 = 24×971

Prime Factorization of 1560


2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 1560 are 2,3,5,13. Prime factorization of 1560 in exponential form is:

1560 = 23×31×51×131

∴ So by taking common prime factors GCF of 1552 and 1560 is 8

Greatest Common Factor of 1552 and 1560 by matching factors method

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Factors of 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Greatest Common Factor

We found the factors and prime factorization of 1552 and 1560. The biggest common factor number is the GCF number.
So the greatest common factor 1552 and 1560 is 8.

Also check out the Least Common Multiple of 1552 and 1560

Properties of GCF 1552 and 1560

(i) The GCF of 1552 and 1560 is associative

GCF of 1552 and 1560 = GCF of 1560 and 1552

Related Greatest Common Factor of 1552

Related Greatest Common Factor of 1560

Frequently Asked Questions on GCF of 1552 and 1560

1. What is the GCF of 1552 and 1560?

Answer: GCF of 1552 and 1560 is 8.

2. What are the Factors of 1552?

Answer: Factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552. There are 10 integers that are factors of 1552. The greatest factor of 1552 is 1552.

3. What are the Factors of 1560?

Answer: Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. There are 32 integers that are factors of 1560. The greatest factor of 1560 is 1560.

4. How to Find the GCF of 1552 and 1560?

Answer:

Greatest Common Factor of 1552 and 1560 = 8

Step 1: Find the prime factorization of 1552

1552 = 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 1560

1560 = 2 x 2 x 2 x 3 x 5 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 1552 and 1560 is 8