What is the Greatest Common Factor of 46725 and 46742?

Greatest common factor (GCF) of 46725 and 46742 is 1.

GCF(46725,46742) = 1

We will now calculate the prime factors of 46725 and 46742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46725 and 46742.

How to find the GCF of 46725 and 46742?

We will first find the prime factorization of 46725 and 46742. After we will calculate the factors of 46725 and 46742 and find the biggest common factor number .

Step-1: Prime Factorization of 46725

Prime factors of 46725 are 3, 5, 7, 89. Prime factorization of 46725 in exponential form is:

46725 = 3¹ × 5² × 7¹ × 89¹

Step-2: Prime Factorization of 46742

Prime factors of 46742 are 2, 23371. Prime factorization of 46742 in exponential form is:

46742 = 2¹ × 23371¹

Step-3: Factors of 46725

List of positive integer factors of 46725 that divides 46725 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 89, 105, 175, 267, 445, 525, 623, 1335, 1869, 2225, 3115, 6675, 9345, 15575

Step-4: Factors of 46742

List of positive integer factors of 46742 that divides 46725 without a remainder.

1, 2, 23371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46725 and 46742. The biggest common factor number is the GCF number.
So the greatest common factor 46725 and 46742 is 1.

Also check out the Least Common Multiple of 46725 and 46742