What is the Greatest Common Factor of 60619 and 60632?

Greatest common factor (GCF) of 60619 and 60632 is 13.

GCF(60619,60632) = 13

We will now calculate the prime factors of 60619 and 60632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60619 and 60632.

How to find the GCF of 60619 and 60632?

We will first find the prime factorization of 60619 and 60632. After we will calculate the factors of 60619 and 60632 and find the biggest common factor number .

Step-1: Prime Factorization of 60619

Prime factors of 60619 are 13, 4663. Prime factorization of 60619 in exponential form is:

60619 = 13¹ × 4663¹

Step-2: Prime Factorization of 60632

Prime factors of 60632 are 2, 11, 13, 53. Prime factorization of 60632 in exponential form is:

60632 = 2³ × 11¹ × 13¹ × 53¹

Step-3: Factors of 60619

List of positive integer factors of 60619 that divides 60619 without a remainder.

1, 13, 4663

Step-4: Factors of 60632

List of positive integer factors of 60632 that divides 60619 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 53, 88, 104, 106, 143, 212, 286, 424, 572, 583, 689, 1144, 1166, 1378, 2332, 2756, 4664, 5512, 7579, 15158, 30316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60619 and 60632. The biggest common factor number is the GCF number.
So the greatest common factor 60619 and 60632 is 13.

Also check out the Least Common Multiple of 60619 and 60632