What is the Greatest Common Factor of 59719 and 59732?

Greatest common factor (GCF) of 59719 and 59732 is 1.

GCF(59719,59732) = 1

We will now calculate the prime factors of 59719 and 59732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59719 and 59732.

How to find the GCF of 59719 and 59732?

We will first find the prime factorization of 59719 and 59732. After we will calculate the factors of 59719 and 59732 and find the biggest common factor number .

Step-1: Prime Factorization of 59719

Prime factors of 59719 are 11, 61, 89. Prime factorization of 59719 in exponential form is:

59719 = 11¹ × 61¹ × 89¹

Step-2: Prime Factorization of 59732

Prime factors of 59732 are 2, 109, 137. Prime factorization of 59732 in exponential form is:

59732 = 2² × 109¹ × 137¹

Step-3: Factors of 59719

List of positive integer factors of 59719 that divides 59719 without a remainder.

1, 11, 61, 89, 671, 979, 5429

Step-4: Factors of 59732

List of positive integer factors of 59732 that divides 59719 without a remainder.

1, 2, 4, 109, 137, 218, 274, 436, 548, 14933, 29866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59719 and 59732. The biggest common factor number is the GCF number.
So the greatest common factor 59719 and 59732 is 1.

Also check out the Least Common Multiple of 59719 and 59732