What is the Greatest Common Factor of 74969 and 74984?

Greatest common factor (GCF) of 74969 and 74984 is 1.

GCF(74969,74984) = 1

We will now calculate the prime factors of 74969 and 74984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74969 and 74984.

How to find the GCF of 74969 and 74984?

We will first find the prime factorization of 74969 and 74984. After we will calculate the factors of 74969 and 74984 and find the biggest common factor number .

Step-1: Prime Factorization of 74969

Prime factors of 74969 are 61, 1229. Prime factorization of 74969 in exponential form is:

74969 = 61¹ × 1229¹

Step-2: 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-3: Factors of 74969

List of positive integer factors of 74969 that divides 74969 without a remainder.

1, 61, 1229

Step-4: Factors of 74984

List of positive integer factors of 74984 that divides 74969 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74969 and 74984. The biggest common factor number is the GCF number.
So the greatest common factor 74969 and 74984 is 1.

Also check out the Least Common Multiple of 74969 and 74984