What is the Greatest Common Factor of 45617 and 45624?

Greatest common factor (GCF) of 45617 and 45624 is 1.

GCF(45617,45624) = 1

We will now calculate the prime factors of 45617 and 45624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45617 and 45624.

How to find the GCF of 45617 and 45624?

We will first find the prime factorization of 45617 and 45624. After we will calculate the factors of 45617 and 45624 and find the biggest common factor number .

Step-1: Prime Factorization of 45617

Prime factors of 45617 are 11, 13, 29. Prime factorization of 45617 in exponential form is:

45617 = 11² × 13¹ × 29¹

Step-2: Prime Factorization of 45624

Prime factors of 45624 are 2, 3, 1901. Prime factorization of 45624 in exponential form is:

45624 = 2³ × 3¹ × 1901¹

Step-3: Factors of 45617

List of positive integer factors of 45617 that divides 45617 without a remainder.

1, 11, 13, 29, 121, 143, 319, 377, 1573, 3509, 4147

Step-4: Factors of 45624

List of positive integer factors of 45624 that divides 45617 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1901, 3802, 5703, 7604, 11406, 15208, 22812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45617 and 45624. The biggest common factor number is the GCF number.
So the greatest common factor 45617 and 45624 is 1.

Also check out the Least Common Multiple of 45617 and 45624