What is the Greatest Common Factor of 74949 and 74969?

Greatest common factor (GCF) of 74949 and 74969 is 1.

GCF(74949,74969) = 1

We will now calculate the prime factors of 74949 and 74969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74949 and 74969.

How to find the GCF of 74949 and 74969?

We will first find the prime factorization of 74949 and 74969. After we will calculate the factors of 74949 and 74969 and find the biggest common factor number .

Step-1: Prime Factorization of 74949

Prime factors of 74949 are 3, 7, 43, 83. Prime factorization of 74949 in exponential form is:

74949 = 3¹ × 7¹ × 43¹ × 83¹

Step-2: Prime Factorization of 74969

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

74969 = 61¹ × 1229¹

Step-3: Factors of 74949

List of positive integer factors of 74949 that divides 74949 without a remainder.

1, 3, 7, 21, 43, 83, 129, 249, 301, 581, 903, 1743, 3569, 10707, 24983

Step-4: Factors of 74969

List of positive integer factors of 74969 that divides 74949 without a remainder.

1, 61, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74949 and 74969. The biggest common factor number is the GCF number.
So the greatest common factor 74949 and 74969 is 1.

Also check out the Least Common Multiple of 74949 and 74969