What is the Greatest Common Factor of 46425 and 46435?

Greatest common factor (GCF) of 46425 and 46435 is 5.

GCF(46425,46435) = 5

We will now calculate the prime factors of 46425 and 46435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46425 and 46435.

How to find the GCF of 46425 and 46435?

We will first find the prime factorization of 46425 and 46435. After we will calculate the factors of 46425 and 46435 and find the biggest common factor number .

Step-1: Prime Factorization of 46425

Prime factors of 46425 are 3, 5, 619. Prime factorization of 46425 in exponential form is:

46425 = 3¹ × 5² × 619¹

Step-2: Prime Factorization of 46435

Prime factors of 46435 are 5, 37, 251. Prime factorization of 46435 in exponential form is:

46435 = 5¹ × 37¹ × 251¹

Step-3: Factors of 46425

List of positive integer factors of 46425 that divides 46425 without a remainder.

1, 3, 5, 15, 25, 75, 619, 1857, 3095, 9285, 15475

Step-4: Factors of 46435

List of positive integer factors of 46435 that divides 46425 without a remainder.

1, 5, 37, 185, 251, 1255, 9287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46425 and 46435. The biggest common factor number is the GCF number.
So the greatest common factor 46425 and 46435 is 5.

Also check out the Least Common Multiple of 46425 and 46435