What is the Greatest Common Factor of 74949 and 74965?

Greatest common factor (GCF) of 74949 and 74965 is 1.

GCF(74949,74965) = 1

We will now calculate the prime factors of 74949 and 74965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74949 and 74965.

How to find the GCF of 74949 and 74965?

We will first find the prime factorization of 74949 and 74965. After we will calculate the factors of 74949 and 74965 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 74965

Prime factors of 74965 are 5, 11, 29, 47. Prime factorization of 74965 in exponential form is:

74965 = 5¹ × 11¹ × 29¹ × 47¹

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 74965

List of positive integer factors of 74965 that divides 74949 without a remainder.

1, 5, 11, 29, 47, 55, 145, 235, 319, 517, 1363, 1595, 2585, 6815, 14993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74949 and 74965. The biggest common factor number is the GCF number.
So the greatest common factor 74949 and 74965 is 1.

Also check out the Least Common Multiple of 74949 and 74965