What is the Greatest Common Factor of 63109 and 63120?

Greatest common factor (GCF) of 63109 and 63120 is 1.

GCF(63109,63120) = 1

We will now calculate the prime factors of 63109 and 63120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63109 and 63120.

How to find the GCF of 63109 and 63120?

We will first find the prime factorization of 63109 and 63120. After we will calculate the factors of 63109 and 63120 and find the biggest common factor number .

Step-1: Prime Factorization of 63109

Prime factors of 63109 are 223, 283. Prime factorization of 63109 in exponential form is:

63109 = 223¹ × 283¹

Step-2: Prime Factorization of 63120

Prime factors of 63120 are 2, 3, 5, 263. Prime factorization of 63120 in exponential form is:

63120 = 2⁴ × 3¹ × 5¹ × 263¹

Step-3: Factors of 63109

List of positive integer factors of 63109 that divides 63109 without a remainder.

1, 223, 283

Step-4: Factors of 63120

List of positive integer factors of 63120 that divides 63109 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 263, 526, 789, 1052, 1315, 1578, 2104, 2630, 3156, 3945, 4208, 5260, 6312, 7890, 10520, 12624, 15780, 21040, 31560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63109 and 63120. The biggest common factor number is the GCF number.
So the greatest common factor 63109 and 63120 is 1.

Also check out the Least Common Multiple of 63109 and 63120