What is the Greatest Common Factor of 20958 and 20972?

Greatest common factor (GCF) of 20958 and 20972 is 14.

GCF(20958,20972) = 14

We will now calculate the prime factors of 20958 and 20972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20958 and 20972.

How to find the GCF of 20958 and 20972?

We will first find the prime factorization of 20958 and 20972. After we will calculate the factors of 20958 and 20972 and find the biggest common factor number .

Step-1: Prime Factorization of 20958

Prime factors of 20958 are 2, 3, 7, 499. Prime factorization of 20958 in exponential form is:

20958 = 2¹ × 3¹ × 7¹ × 499¹

Step-2: Prime Factorization of 20972

Prime factors of 20972 are 2, 7, 107. Prime factorization of 20972 in exponential form is:

20972 = 2² × 7² × 107¹

Step-3: Factors of 20958

List of positive integer factors of 20958 that divides 20958 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 499, 998, 1497, 2994, 3493, 6986, 10479

Step-4: Factors of 20972

List of positive integer factors of 20972 that divides 20958 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 107, 196, 214, 428, 749, 1498, 2996, 5243, 10486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20958 and 20972. The biggest common factor number is the GCF number.
So the greatest common factor 20958 and 20972 is 14.

Also check out the Least Common Multiple of 20958 and 20972