What is the Greatest Common Factor of 74705 and 74725?

Greatest common factor (GCF) of 74705 and 74725 is 5.

GCF(74705,74725) = 5

We will now calculate the prime factors of 74705 and 74725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74705 and 74725.

How to find the GCF of 74705 and 74725?

We will first find the prime factorization of 74705 and 74725. After we will calculate the factors of 74705 and 74725 and find the biggest common factor number .

Step-1: Prime Factorization of 74705

Prime factors of 74705 are 5, 67, 223. Prime factorization of 74705 in exponential form is:

74705 = 5¹ × 67¹ × 223¹

Step-2: Prime Factorization of 74725

Prime factors of 74725 are 5, 7, 61. Prime factorization of 74725 in exponential form is:

74725 = 5² × 7² × 61¹

Step-3: Factors of 74705

List of positive integer factors of 74705 that divides 74705 without a remainder.

1, 5, 67, 223, 335, 1115, 14941

Step-4: Factors of 74725

List of positive integer factors of 74725 that divides 74705 without a remainder.

1, 5, 7, 25, 35, 49, 61, 175, 245, 305, 427, 1225, 1525, 2135, 2989, 10675, 14945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74705 and 74725. The biggest common factor number is the GCF number.
So the greatest common factor 74705 and 74725 is 5.

Also check out the Least Common Multiple of 74705 and 74725