What is the Greatest Common Factor of 51113 and 51120?

Greatest common factor (GCF) of 51113 and 51120 is 1.

GCF(51113,51120) = 1

We will now calculate the prime factors of 51113 and 51120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51113 and 51120.

How to find the GCF of 51113 and 51120?

We will first find the prime factorization of 51113 and 51120. After we will calculate the factors of 51113 and 51120 and find the biggest common factor number .

Step-1: Prime Factorization of 51113

Prime factors of 51113 are 79, 647. Prime factorization of 51113 in exponential form is:

51113 = 79¹ × 647¹

Step-2: Prime Factorization of 51120

Prime factors of 51120 are 2, 3, 5, 71. Prime factorization of 51120 in exponential form is:

51120 = 2⁴ × 3² × 5¹ × 71¹

Step-3: Factors of 51113

List of positive integer factors of 51113 that divides 51113 without a remainder.

1, 79, 647

Step-4: Factors of 51120

List of positive integer factors of 51120 that divides 51113 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 71, 72, 80, 90, 120, 142, 144, 180, 213, 240, 284, 355, 360, 426, 568, 639, 710, 720, 852, 1065, 1136, 1278, 1420, 1704, 2130, 2556, 2840, 3195, 3408, 4260, 5112, 5680, 6390, 8520, 10224, 12780, 17040, 25560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51113 and 51120. The biggest common factor number is the GCF number.
So the greatest common factor 51113 and 51120 is 1.

Also check out the Least Common Multiple of 51113 and 51120