What is the Greatest Common Factor of 73976 and 73990?

Greatest common factor (GCF) of 73976 and 73990 is 14.

GCF(73976,73990) = 14

We will now calculate the prime factors of 73976 and 73990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73976 and 73990.

How to find the GCF of 73976 and 73990?

We will first find the prime factorization of 73976 and 73990. After we will calculate the factors of 73976 and 73990 and find the biggest common factor number .

Step-1: Prime Factorization of 73976

Prime factors of 73976 are 2, 7, 1321. Prime factorization of 73976 in exponential form is:

73976 = 2³ × 7¹ × 1321¹

Step-2: Prime Factorization of 73990

Prime factors of 73990 are 2, 5, 7, 151. Prime factorization of 73990 in exponential form is:

73990 = 2¹ × 5¹ × 7² × 151¹

Step-3: Factors of 73976

List of positive integer factors of 73976 that divides 73976 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1321, 2642, 5284, 9247, 10568, 18494, 36988

Step-4: Factors of 73990

List of positive integer factors of 73990 that divides 73976 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 151, 245, 302, 490, 755, 1057, 1510, 2114, 5285, 7399, 10570, 14798, 36995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73976 and 73990. The biggest common factor number is the GCF number.
So the greatest common factor 73976 and 73990 is 14.

Also check out the Least Common Multiple of 73976 and 73990