What is the Greatest Common Factor of 53955 and 53970?

Greatest common factor (GCF) of 53955 and 53970 is 15.

GCF(53955,53970) = 15

We will now calculate the prime factors of 53955 and 53970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53955 and 53970.

How to find the GCF of 53955 and 53970?

We will first find the prime factorization of 53955 and 53970. After we will calculate the factors of 53955 and 53970 and find the biggest common factor number .

Step-1: Prime Factorization of 53955

Prime factors of 53955 are 3, 5, 11, 109. Prime factorization of 53955 in exponential form is:

53955 = 3² × 5¹ × 11¹ × 109¹

Step-2: Prime Factorization of 53970

Prime factors of 53970 are 2, 3, 5, 7, 257. Prime factorization of 53970 in exponential form is:

53970 = 2¹ × 3¹ × 5¹ × 7¹ × 257¹

Step-3: Factors of 53955

List of positive integer factors of 53955 that divides 53955 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 109, 165, 327, 495, 545, 981, 1199, 1635, 3597, 4905, 5995, 10791, 17985

Step-4: Factors of 53970

List of positive integer factors of 53970 that divides 53955 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 257, 514, 771, 1285, 1542, 1799, 2570, 3598, 3855, 5397, 7710, 8995, 10794, 17990, 26985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53955 and 53970. The biggest common factor number is the GCF number.
So the greatest common factor 53955 and 53970 is 15.

Also check out the Least Common Multiple of 53955 and 53970