What is the Greatest Common Factor of 60991 and 60998?

Greatest common factor (GCF) of 60991 and 60998 is 7.

GCF(60991,60998) = 7

We will now calculate the prime factors of 60991 and 60998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60991 and 60998.

How to find the GCF of 60991 and 60998?

We will first find the prime factorization of 60991 and 60998. After we will calculate the factors of 60991 and 60998 and find the biggest common factor number .

Step-1: Prime Factorization of 60991

Prime factors of 60991 are 7, 8713. Prime factorization of 60991 in exponential form is:

60991 = 7¹ × 8713¹

Step-2: Prime Factorization of 60998

Prime factors of 60998 are 2, 7, 4357. Prime factorization of 60998 in exponential form is:

60998 = 2¹ × 7¹ × 4357¹

Step-3: Factors of 60991

List of positive integer factors of 60991 that divides 60991 without a remainder.

1, 7, 8713

Step-4: Factors of 60998

List of positive integer factors of 60998 that divides 60991 without a remainder.

1, 2, 7, 14, 4357, 8714, 30499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60991 and 60998. The biggest common factor number is the GCF number.
So the greatest common factor 60991 and 60998 is 7.

Also check out the Least Common Multiple of 60991 and 60998