What is the Greatest Common Factor of 52725 and 52729?

Greatest common factor (GCF) of 52725 and 52729 is 1.

GCF(52725,52729) = 1

We will now calculate the prime factors of 52725 and 52729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52725 and 52729.

How to find the GCF of 52725 and 52729?

We will first find the prime factorization of 52725 and 52729. After we will calculate the factors of 52725 and 52729 and find the biggest common factor number .

Step-1: Prime Factorization of 52725

Prime factors of 52725 are 3, 5, 19, 37. Prime factorization of 52725 in exponential form is:

52725 = 3¹ × 5² × 19¹ × 37¹

Step-2: Prime Factorization of 52729

Prime factors of 52729 are 67, 787. Prime factorization of 52729 in exponential form is:

52729 = 67¹ × 787¹

Step-3: Factors of 52725

List of positive integer factors of 52725 that divides 52725 without a remainder.

1, 3, 5, 15, 19, 25, 37, 57, 75, 95, 111, 185, 285, 475, 555, 703, 925, 1425, 2109, 2775, 3515, 10545, 17575

Step-4: Factors of 52729

List of positive integer factors of 52729 that divides 52725 without a remainder.

1, 67, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52725 and 52729. The biggest common factor number is the GCF number.
So the greatest common factor 52725 and 52729 is 1.

Also check out the Least Common Multiple of 52725 and 52729