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 8972, 8980 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8972 and 8980 is 4.
GCF(8972,8980) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8972
2 | 8972 |
2 | 4486 |
2243 | 2243 |
1 |
Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:
8972 = 22×22431
Prime Factorization of 8980
2 | 8980 |
2 | 4490 |
5 | 2245 |
449 | 449 |
1 |
Prime factors of 8980 are 2,5,449. Prime factorization of 8980 in exponential form is:
8980 = 22×51×4491
∴ So by taking common prime factors GCF of 8972 and 8980 is 4
Factors of 8972
List of positive integer factors of 8972 that divides 8972 without a remainder.
1,2,4,2243,4486,8972
Factors of 8980
List of positive integer factors of 8980 that divides 8980 without a remainder.
1,2,4,5,10,20,449,898,1796,2245,4490,8980
Greatest Common Factor
We found the factors and prime factorization of 8972 and 8980. The biggest common factor number is the GCF number.
So the greatest common factor 8972 and 8980 is 4.
Also check out the Least Common Multiple of 8972 and 8980
(i) The GCF of 8972 and 8980 is associative
GCF of 8972 and 8980 = GCF of 8980 and 8972
1. What is the GCF of 8972 and 8980?
Answer: GCF of 8972 and 8980 is 4.
2. What are the Factors of 8972?
Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.
3. What are the Factors of 8980?
Answer: Factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980. There are 12 integers that are factors of 8980. The greatest factor of 8980 is 8980.
4. How to Find the GCF of 8972 and 8980?
Answer:
Greatest Common Factor of 8972 and 8980 = 4
Step 1: Find the prime factorization of 8972
8972 = 2 x 2 x 2243
Step 2: Find the prime factorization of 8980
8980 = 2 x 2 x 5 x 449
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8972 and 8980 is 4