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What is the Greatest Common Factor of 60958 and 60978?

Greatest common factor (GCF) of 60958 and 60978 is 2.

GCF(60958,60978) = 2

We will now calculate the prime factors of 60958 and 60978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60958 and 60978.

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How to find the GCF of 60958 and 60978?

We will first find the prime factorization of 60958 and 60978. After we will calculate the factors of 60958 and 60978 and find the biggest common factor number .

Step-1: Prime Factorization of 60958

Prime factors of 60958 are 2, 29, 1051. Prime factorization of 60958 in exponential form is:

60958 = 21 × 291 × 10511

Step-2: Prime Factorization of 60978

Prime factors of 60978 are 2, 3, 10163. Prime factorization of 60978 in exponential form is:

60978 = 21 × 31 × 101631

Step-3: Factors of 60958

List of positive integer factors of 60958 that divides 60958 without a remainder.

1, 2, 29, 58, 1051, 2102, 30479

Step-4: Factors of 60978

List of positive integer factors of 60978 that divides 60958 without a remainder.

1, 2, 3, 6, 10163, 20326, 30489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60958 and 60978. The biggest common factor number is the GCF number.
So the greatest common factor 60958 and 60978 is 2.

Also check out the Least Common Multiple of 60958 and 60978