What is the Greatest Common Factor of 46240 and 46251?

Greatest common factor (GCF) of 46240 and 46251 is 1.

GCF(46240,46251) = 1

We will now calculate the prime factors of 46240 and 46251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46240 and 46251.

How to find the GCF of 46240 and 46251?

We will first find the prime factorization of 46240 and 46251. After we will calculate the factors of 46240 and 46251 and find the biggest common factor number .

Step-1: Prime Factorization of 46240

Prime factors of 46240 are 2, 5, 17. Prime factorization of 46240 in exponential form is:

46240 = 2⁵ × 5¹ × 17²

Step-2: Prime Factorization of 46251

Prime factors of 46251 are 3, 571. Prime factorization of 46251 in exponential form is:

46251 = 3⁴ × 571¹

Step-3: Factors of 46240

List of positive integer factors of 46240 that divides 46240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 289, 340, 544, 578, 680, 1156, 1360, 1445, 2312, 2720, 2890, 4624, 5780, 9248, 11560, 23120

Step-4: Factors of 46251

List of positive integer factors of 46251 that divides 46240 without a remainder.

1, 3, 9, 27, 81, 571, 1713, 5139, 15417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46240 and 46251. The biggest common factor number is the GCF number.
So the greatest common factor 46240 and 46251 is 1.

Also check out the Least Common Multiple of 46240 and 46251