What is the Greatest Common Factor of 61572 and 61588?

Greatest common factor (GCF) of 61572 and 61588 is 4.

GCF(61572,61588) = 4

We will now calculate the prime factors of 61572 and 61588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61572 and 61588.

How to find the GCF of 61572 and 61588?

We will first find the prime factorization of 61572 and 61588. After we will calculate the factors of 61572 and 61588 and find the biggest common factor number .

Step-1: Prime Factorization of 61572

Prime factors of 61572 are 2, 3, 7, 733. Prime factorization of 61572 in exponential form is:

61572 = 2² × 3¹ × 7¹ × 733¹

Step-2: Prime Factorization of 61588

Prime factors of 61588 are 2, 89, 173. Prime factorization of 61588 in exponential form is:

61588 = 2² × 89¹ × 173¹

Step-3: Factors of 61572

List of positive integer factors of 61572 that divides 61572 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 733, 1466, 2199, 2932, 4398, 5131, 8796, 10262, 15393, 20524, 30786

Step-4: Factors of 61588

List of positive integer factors of 61588 that divides 61572 without a remainder.

1, 2, 4, 89, 173, 178, 346, 356, 692, 15397, 30794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61572 and 61588. The biggest common factor number is the GCF number.
So the greatest common factor 61572 and 61588 is 4.

Also check out the Least Common Multiple of 61572 and 61588