What is the Greatest Common Factor of 60997 and 61002?

Greatest common factor (GCF) of 60997 and 61002 is 1.

GCF(60997,61002) = 1

We will now calculate the prime factors of 60997 and 61002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60997 and 61002.

How to find the GCF of 60997 and 61002?

We will first find the prime factorization of 60997 and 61002. After we will calculate the factors of 60997 and 61002 and find the biggest common factor number .

Step-1: Prime Factorization of 60997

Prime factors of 60997 are 181, 337. Prime factorization of 60997 in exponential form is:

60997 = 181¹ × 337¹

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 60997

List of positive integer factors of 60997 that divides 60997 without a remainder.

1, 181, 337

Step-4: Factors of 61002

List of positive integer factors of 61002 that divides 60997 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 60997 and 61002. The biggest common factor number is the GCF number.
So the greatest common factor 60997 and 61002 is 1.

Also check out the Least Common Multiple of 60997 and 61002