What is the Greatest Common Factor of 72974 and 72980?

Greatest common factor (GCF) of 72974 and 72980 is 2.

GCF(72974,72980) = 2

We will now calculate the prime factors of 72974 and 72980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72974 and 72980.

How to find the GCF of 72974 and 72980?

We will first find the prime factorization of 72974 and 72980. After we will calculate the factors of 72974 and 72980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72980

Prime factors of 72980 are 2, 5, 41, 89. Prime factorization of 72980 in exponential form is:

72980 = 2² × 5¹ × 41¹ × 89¹

Step-3: Factors of 72974

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

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

Step-4: Factors of 72980

List of positive integer factors of 72980 that divides 72974 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 89, 164, 178, 205, 356, 410, 445, 820, 890, 1780, 3649, 7298, 14596, 18245, 36490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72974 and 72980. The biggest common factor number is the GCF number.
So the greatest common factor 72974 and 72980 is 2.

Also check out the Least Common Multiple of 72974 and 72980