What is the Greatest Common Factor of 72968 and 72974?

Greatest common factor (GCF) of 72968 and 72974 is 2.

GCF(72968,72974) = 2

We will now calculate the prime factors of 72968 and 72974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72968 and 72974.

How to find the GCF of 72968 and 72974?

We will first find the prime factorization of 72968 and 72974. After we will calculate the factors of 72968 and 72974 and find the biggest common factor number .

Step-1: Prime Factorization of 72968

Prime factors of 72968 are 2, 7, 1303. Prime factorization of 72968 in exponential form is:

72968 = 2³ × 7¹ × 1303¹

Step-2: Prime Factorization of 72974

Prime factors of 72974 are 2, 11, 31, 107. Prime factorization of 72974 in exponential form is:

72974 = 2¹ × 11¹ × 31¹ × 107¹

Step-3: Factors of 72968

List of positive integer factors of 72968 that divides 72968 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1303, 2606, 5212, 9121, 10424, 18242, 36484

Step-4: Factors of 72974

List of positive integer factors of 72974 that divides 72968 without a remainder.

1, 2, 11, 22, 31, 62, 107, 214, 341, 682, 1177, 2354, 3317, 6634, 36487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72968 and 72974. The biggest common factor number is the GCF number.
So the greatest common factor 72968 and 72974 is 2.

Also check out the Least Common Multiple of 72968 and 72974