What is the Greatest Common Factor of 53046 and 53052?

Greatest common factor (GCF) of 53046 and 53052 is 6.

GCF(53046,53052) = 6

We will now calculate the prime factors of 53046 and 53052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53046 and 53052.

How to find the GCF of 53046 and 53052?

We will first find the prime factorization of 53046 and 53052. After we will calculate the factors of 53046 and 53052 and find the biggest common factor number .

Step-1: Prime Factorization of 53046

Prime factors of 53046 are 2, 3, 7, 421. Prime factorization of 53046 in exponential form is:

53046 = 2¹ × 3² × 7¹ × 421¹

Step-2: Prime Factorization of 53052

Prime factors of 53052 are 2, 3, 4421. Prime factorization of 53052 in exponential form is:

53052 = 2² × 3¹ × 4421¹

Step-3: Factors of 53046

List of positive integer factors of 53046 that divides 53046 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 421, 842, 1263, 2526, 2947, 3789, 5894, 7578, 8841, 17682, 26523

Step-4: Factors of 53052

List of positive integer factors of 53052 that divides 53046 without a remainder.

1, 2, 3, 4, 6, 12, 4421, 8842, 13263, 17684, 26526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53046 and 53052. The biggest common factor number is the GCF number.
So the greatest common factor 53046 and 53052 is 6.

Also check out the Least Common Multiple of 53046 and 53052