What is the Greatest Common Factor of 46240 and 46259?

Greatest common factor (GCF) of 46240 and 46259 is 1.

GCF(46240,46259) = 1

We will now calculate the prime factors of 46240 and 46259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46240 and 46259.

How to find the GCF of 46240 and 46259?

We will first find the prime factorization of 46240 and 46259. After we will calculate the factors of 46240 and 46259 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 46259

Prime factors of 46259 are 167, 277. Prime factorization of 46259 in exponential form is:

46259 = 167¹ × 277¹

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 46259

List of positive integer factors of 46259 that divides 46240 without a remainder.

1, 167, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46240 and 46259. The biggest common factor number is the GCF number.
So the greatest common factor 46240 and 46259 is 1.

Also check out the Least Common Multiple of 46240 and 46259