What is the Greatest Common Factor of 59072 and 59084?

Greatest common factor (GCF) of 59072 and 59084 is 4.

GCF(59072,59084) = 4

We will now calculate the prime factors of 59072 and 59084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59072 and 59084.

How to find the GCF of 59072 and 59084?

We will first find the prime factorization of 59072 and 59084. After we will calculate the factors of 59072 and 59084 and find the biggest common factor number .

Step-1: Prime Factorization of 59072

Prime factors of 59072 are 2, 13, 71. Prime factorization of 59072 in exponential form is:

59072 = 2⁶ × 13¹ × 71¹

Step-2: Prime Factorization of 59084

Prime factors of 59084 are 2, 14771. Prime factorization of 59084 in exponential form is:

59084 = 2² × 14771¹

Step-3: Factors of 59072

List of positive integer factors of 59072 that divides 59072 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 71, 104, 142, 208, 284, 416, 568, 832, 923, 1136, 1846, 2272, 3692, 4544, 7384, 14768, 29536

Step-4: Factors of 59084

List of positive integer factors of 59084 that divides 59072 without a remainder.

1, 2, 4, 14771, 29542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59072 and 59084. The biggest common factor number is the GCF number.
So the greatest common factor 59072 and 59084 is 4.

Also check out the Least Common Multiple of 59072 and 59084