What is the Greatest Common Factor of 59798 and 59812?

Greatest common factor (GCF) of 59798 and 59812 is 2.

GCF(59798,59812) = 2

We will now calculate the prime factors of 59798 and 59812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59798 and 59812.

How to find the GCF of 59798 and 59812?

We will first find the prime factorization of 59798 and 59812. After we will calculate the factors of 59798 and 59812 and find the biggest common factor number .

Step-1: Prime Factorization of 59798

Prime factors of 59798 are 2, 29, 1031. Prime factorization of 59798 in exponential form is:

59798 = 2¹ × 29¹ × 1031¹

Step-2: Prime Factorization of 59812

Prime factors of 59812 are 2, 19, 787. Prime factorization of 59812 in exponential form is:

59812 = 2² × 19¹ × 787¹

Step-3: Factors of 59798

List of positive integer factors of 59798 that divides 59798 without a remainder.

1, 2, 29, 58, 1031, 2062, 29899

Step-4: Factors of 59812

List of positive integer factors of 59812 that divides 59798 without a remainder.

1, 2, 4, 19, 38, 76, 787, 1574, 3148, 14953, 29906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59798 and 59812. The biggest common factor number is the GCF number.
So the greatest common factor 59798 and 59812 is 2.

Also check out the Least Common Multiple of 59798 and 59812