What is the Greatest Common Factor of 53031 and 53046?

Greatest common factor (GCF) of 53031 and 53046 is 3.

GCF(53031,53046) = 3

We will now calculate the prime factors of 53031 and 53046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53031 and 53046.

How to find the GCF of 53031 and 53046?

We will first find the prime factorization of 53031 and 53046. After we will calculate the factors of 53031 and 53046 and find the biggest common factor number .

Step-1: Prime Factorization of 53031

Prime factors of 53031 are 3, 11, 1607. Prime factorization of 53031 in exponential form is:

53031 = 3¹ × 11¹ × 1607¹

Step-2: 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-3: Factors of 53031

List of positive integer factors of 53031 that divides 53031 without a remainder.

1, 3, 11, 33, 1607, 4821, 17677

Step-4: Factors of 53046

List of positive integer factors of 53046 that divides 53031 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53031 and 53046. The biggest common factor number is the GCF number.
So the greatest common factor 53031 and 53046 is 3.

Also check out the Least Common Multiple of 53031 and 53046