What is the Greatest Common Factor of 70725 and 70737?

Greatest common factor (GCF) of 70725 and 70737 is 3.

GCF(70725,70737) = 3

We will now calculate the prime factors of 70725 and 70737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70725 and 70737.

How to find the GCF of 70725 and 70737?

We will first find the prime factorization of 70725 and 70737. After we will calculate the factors of 70725 and 70737 and find the biggest common factor number .

Step-1: Prime Factorization of 70725

Prime factors of 70725 are 3, 5, 23, 41. Prime factorization of 70725 in exponential form is:

70725 = 3¹ × 5² × 23¹ × 41¹

Step-2: Prime Factorization of 70737

Prime factors of 70737 are 3, 17, 19, 73. Prime factorization of 70737 in exponential form is:

70737 = 3¹ × 17¹ × 19¹ × 73¹

Step-3: Factors of 70725

List of positive integer factors of 70725 that divides 70725 without a remainder.

1, 3, 5, 15, 23, 25, 41, 69, 75, 115, 123, 205, 345, 575, 615, 943, 1025, 1725, 2829, 3075, 4715, 14145, 23575

Step-4: Factors of 70737

List of positive integer factors of 70737 that divides 70725 without a remainder.

1, 3, 17, 19, 51, 57, 73, 219, 323, 969, 1241, 1387, 3723, 4161, 23579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70725 and 70737. The biggest common factor number is the GCF number.
So the greatest common factor 70725 and 70737 is 3.

Also check out the Least Common Multiple of 70725 and 70737