What is the Greatest Common Factor of 74984 and 74990?

Greatest common factor (GCF) of 74984 and 74990 is 2.

GCF(74984,74990) = 2

We will now calculate the prime factors of 74984 and 74990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74984 and 74990.

How to find the GCF of 74984 and 74990?

We will first find the prime factorization of 74984 and 74990. After we will calculate the factors of 74984 and 74990 and find the biggest common factor number .

Step-1: Prime Factorization of 74984

Prime factors of 74984 are 2, 7, 13, 103. Prime factorization of 74984 in exponential form is:

74984 = 2³ × 7¹ × 13¹ × 103¹

Step-2: Prime Factorization of 74990

Prime factors of 74990 are 2, 5, 7499. Prime factorization of 74990 in exponential form is:

74990 = 2¹ × 5¹ × 7499¹

Step-3: Factors of 74984

List of positive integer factors of 74984 that divides 74984 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 103, 104, 182, 206, 364, 412, 721, 728, 824, 1339, 1442, 2678, 2884, 5356, 5768, 9373, 10712, 18746, 37492

Step-4: Factors of 74990

List of positive integer factors of 74990 that divides 74984 without a remainder.

1, 2, 5, 10, 7499, 14998, 37495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74984 and 74990. The biggest common factor number is the GCF number.
So the greatest common factor 74984 and 74990 is 2.

Also check out the Least Common Multiple of 74984 and 74990