What is the Greatest Common Factor of 46625 and 46636?

Greatest common factor (GCF) of 46625 and 46636 is 1.

GCF(46625,46636) = 1

We will now calculate the prime factors of 46625 and 46636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46625 and 46636.

How to find the GCF of 46625 and 46636?

We will first find the prime factorization of 46625 and 46636. After we will calculate the factors of 46625 and 46636 and find the biggest common factor number .

Step-1: Prime Factorization of 46625

Prime factors of 46625 are 5, 373. Prime factorization of 46625 in exponential form is:

46625 = 5³ × 373¹

Step-2: Prime Factorization of 46636

Prime factors of 46636 are 2, 89, 131. Prime factorization of 46636 in exponential form is:

46636 = 2² × 89¹ × 131¹

Step-3: Factors of 46625

List of positive integer factors of 46625 that divides 46625 without a remainder.

1, 5, 25, 125, 373, 1865, 9325

Step-4: Factors of 46636

List of positive integer factors of 46636 that divides 46625 without a remainder.

1, 2, 4, 89, 131, 178, 262, 356, 524, 11659, 23318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46625 and 46636. The biggest common factor number is the GCF number.
So the greatest common factor 46625 and 46636 is 1.

Also check out the Least Common Multiple of 46625 and 46636