What is the Greatest Common Factor of 63452 and 63462?

Greatest common factor (GCF) of 63452 and 63462 is 2.

GCF(63452,63462) = 2

We will now calculate the prime factors of 63452 and 63462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63452 and 63462.

How to find the GCF of 63452 and 63462?

We will first find the prime factorization of 63452 and 63462. After we will calculate the factors of 63452 and 63462 and find the biggest common factor number .

Step-1: Prime Factorization of 63452

Prime factors of 63452 are 2, 29, 547. Prime factorization of 63452 in exponential form is:

63452 = 2² × 29¹ × 547¹

Step-2: Prime Factorization of 63462

Prime factors of 63462 are 2, 3, 7, 1511. Prime factorization of 63462 in exponential form is:

63462 = 2¹ × 3¹ × 7¹ × 1511¹

Step-3: Factors of 63452

List of positive integer factors of 63452 that divides 63452 without a remainder.

1, 2, 4, 29, 58, 116, 547, 1094, 2188, 15863, 31726

Step-4: Factors of 63462

List of positive integer factors of 63462 that divides 63452 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1511, 3022, 4533, 9066, 10577, 21154, 31731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63452 and 63462. The biggest common factor number is the GCF number.
So the greatest common factor 63452 and 63462 is 2.

Also check out the Least Common Multiple of 63452 and 63462