What is the Greatest Common Factor of 46609 and 46625?

Greatest common factor (GCF) of 46609 and 46625 is 1.

GCF(46609,46625) = 1

We will now calculate the prime factors of 46609 and 46625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46609 and 46625.

How to find the GCF of 46609 and 46625?

We will first find the prime factorization of 46609 and 46625. After we will calculate the factors of 46609 and 46625 and find the biggest common factor number .

Step-1: Prime Factorization of 46609

Prime factors of 46609 are 127, 367. Prime factorization of 46609 in exponential form is:

46609 = 127¹ × 367¹

Step-2: Prime Factorization of 46625

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

46625 = 5³ × 373¹

Step-3: Factors of 46609

List of positive integer factors of 46609 that divides 46609 without a remainder.

1, 127, 367

Step-4: Factors of 46625

List of positive integer factors of 46625 that divides 46609 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46609 and 46625. The biggest common factor number is the GCF number.
So the greatest common factor 46609 and 46625 is 1.

Also check out the Least Common Multiple of 46609 and 46625