What is the Greatest Common Factor of 60986 and 61002?

Greatest common factor (GCF) of 60986 and 61002 is 2.

GCF(60986,61002) = 2

We will now calculate the prime factors of 60986 and 61002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60986 and 61002.

How to find the GCF of 60986 and 61002?

We will first find the prime factorization of 60986 and 61002. After we will calculate the factors of 60986 and 61002 and find the biggest common factor number .

Step-1: Prime Factorization of 60986

Prime factors of 60986 are 2, 30493. Prime factorization of 60986 in exponential form is:

60986 = 2¹ × 30493¹

Step-2: Prime Factorization of 61002

Prime factors of 61002 are 2, 3, 3389. Prime factorization of 61002 in exponential form is:

61002 = 2¹ × 3² × 3389¹

Step-3: Factors of 60986

List of positive integer factors of 60986 that divides 60986 without a remainder.

1, 2, 30493

Step-4: Factors of 61002

List of positive integer factors of 61002 that divides 60986 without a remainder.

1, 2, 3, 6, 9, 18, 3389, 6778, 10167, 20334, 30501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60986 and 61002. The biggest common factor number is the GCF number.
So the greatest common factor 60986 and 61002 is 2.

Also check out the Least Common Multiple of 60986 and 61002