What is the Greatest Common Factor of 63012 and 63029?

Greatest common factor (GCF) of 63012 and 63029 is 1.

GCF(63012,63029) = 1

We will now calculate the prime factors of 63012 and 63029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63012 and 63029.

How to find the GCF of 63012 and 63029?

We will first find the prime factorization of 63012 and 63029. After we will calculate the factors of 63012 and 63029 and find the biggest common factor number .

Step-1: Prime Factorization of 63012

Prime factors of 63012 are 2, 3, 59, 89. Prime factorization of 63012 in exponential form is:

63012 = 2² × 3¹ × 59¹ × 89¹

Step-2: Prime Factorization of 63029

Prime factors of 63029 are 63029. Prime factorization of 63029 in exponential form is:

63029 = 63029¹

Step-3: Factors of 63012

List of positive integer factors of 63012 that divides 63012 without a remainder.

1, 2, 3, 4, 6, 12, 59, 89, 118, 177, 178, 236, 267, 354, 356, 534, 708, 1068, 5251, 10502, 15753, 21004, 31506

Step-4: Factors of 63029

List of positive integer factors of 63029 that divides 63012 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63012 and 63029. The biggest common factor number is the GCF number.
So the greatest common factor 63012 and 63029 is 1.

Also check out the Least Common Multiple of 63012 and 63029