What is the Greatest Common Factor of 34958 and 34972?

Greatest common factor (GCF) of 34958 and 34972 is 14.

GCF(34958,34972) = 14

We will now calculate the prime factors of 34958 and 34972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34958 and 34972.

How to find the GCF of 34958 and 34972?

We will first find the prime factorization of 34958 and 34972. After we will calculate the factors of 34958 and 34972 and find the biggest common factor number .

Step-1: Prime Factorization of 34958

Prime factors of 34958 are 2, 7, 11, 227. Prime factorization of 34958 in exponential form is:

34958 = 2¹ × 7¹ × 11¹ × 227¹

Step-2: Prime Factorization of 34972

Prime factors of 34972 are 2, 7, 1249. Prime factorization of 34972 in exponential form is:

34972 = 2² × 7¹ × 1249¹

Step-3: Factors of 34958

List of positive integer factors of 34958 that divides 34958 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 227, 454, 1589, 2497, 3178, 4994, 17479

Step-4: Factors of 34972

List of positive integer factors of 34972 that divides 34958 without a remainder.

1, 2, 4, 7, 14, 28, 1249, 2498, 4996, 8743, 17486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34958 and 34972. The biggest common factor number is the GCF number.
So the greatest common factor 34958 and 34972 is 14.

Also check out the Least Common Multiple of 34958 and 34972