What is the Greatest Common Factor of 68944 and 68962?

Greatest common factor (GCF) of 68944 and 68962 is 2.

GCF(68944,68962) = 2

We will now calculate the prime factors of 68944 and 68962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68944 and 68962.

How to find the GCF of 68944 and 68962?

We will first find the prime factorization of 68944 and 68962. After we will calculate the factors of 68944 and 68962 and find the biggest common factor number .

Step-1: Prime Factorization of 68944

Prime factors of 68944 are 2, 31, 139. Prime factorization of 68944 in exponential form is:

68944 = 2⁴ × 31¹ × 139¹

Step-2: Prime Factorization of 68962

Prime factors of 68962 are 2, 29, 41. Prime factorization of 68962 in exponential form is:

68962 = 2¹ × 29² × 41¹

Step-3: Factors of 68944

List of positive integer factors of 68944 that divides 68944 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 139, 248, 278, 496, 556, 1112, 2224, 4309, 8618, 17236, 34472

Step-4: Factors of 68962

List of positive integer factors of 68962 that divides 68944 without a remainder.

1, 2, 29, 41, 58, 82, 841, 1189, 1682, 2378, 34481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68944 and 68962. The biggest common factor number is the GCF number.
So the greatest common factor 68944 and 68962 is 2.

Also check out the Least Common Multiple of 68944 and 68962