What is the Greatest Common Factor of 74725 and 74744?

Greatest common factor (GCF) of 74725 and 74744 is 1.

GCF(74725,74744) = 1

We will now calculate the prime factors of 74725 and 74744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74725 and 74744.

How to find the GCF of 74725 and 74744?

We will first find the prime factorization of 74725 and 74744. After we will calculate the factors of 74725 and 74744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74744

Prime factors of 74744 are 2, 9343. Prime factorization of 74744 in exponential form is:

74744 = 2³ × 9343¹

Step-3: Factors of 74725

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

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

Step-4: Factors of 74744

List of positive integer factors of 74744 that divides 74725 without a remainder.

1, 2, 4, 8, 9343, 18686, 37372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74725 and 74744. The biggest common factor number is the GCF number.
So the greatest common factor 74725 and 74744 is 1.

Also check out the Least Common Multiple of 74725 and 74744