What is the Greatest Common Factor of 74945 and 74961?

Greatest common factor (GCF) of 74945 and 74961 is 1.

GCF(74945,74961) = 1

We will now calculate the prime factors of 74945 and 74961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74945 and 74961.

How to find the GCF of 74945 and 74961?

We will first find the prime factorization of 74945 and 74961. After we will calculate the factors of 74945 and 74961 and find the biggest common factor number .

Step-1: Prime Factorization of 74945

Prime factors of 74945 are 5, 13, 1153. Prime factorization of 74945 in exponential form is:

74945 = 5¹ × 13¹ × 1153¹

Step-2: Prime Factorization of 74961

Prime factors of 74961 are 3, 8329. Prime factorization of 74961 in exponential form is:

74961 = 3² × 8329¹

Step-3: Factors of 74945

List of positive integer factors of 74945 that divides 74945 without a remainder.

1, 5, 13, 65, 1153, 5765, 14989

Step-4: Factors of 74961

List of positive integer factors of 74961 that divides 74945 without a remainder.

1, 3, 9, 8329, 24987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74945 and 74961. The biggest common factor number is the GCF number.
So the greatest common factor 74945 and 74961 is 1.

Also check out the Least Common Multiple of 74945 and 74961