What is the Greatest Common Factor of 42364 and 42377?

Greatest common factor (GCF) of 42364 and 42377 is 1.

GCF(42364,42377) = 1

We will now calculate the prime factors of 42364 and 42377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42364 and 42377.

How to find the GCF of 42364 and 42377?

We will first find the prime factorization of 42364 and 42377. After we will calculate the factors of 42364 and 42377 and find the biggest common factor number .

Step-1: Prime Factorization of 42364

Prime factors of 42364 are 2, 7, 17, 89. Prime factorization of 42364 in exponential form is:

42364 = 2² × 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 42377

Prime factors of 42377 are 31, 1367. Prime factorization of 42377 in exponential form is:

42377 = 31¹ × 1367¹

Step-3: Factors of 42364

List of positive integer factors of 42364 that divides 42364 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 89, 119, 178, 238, 356, 476, 623, 1246, 1513, 2492, 3026, 6052, 10591, 21182

Step-4: Factors of 42377

List of positive integer factors of 42377 that divides 42364 without a remainder.

1, 31, 1367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42364 and 42377. The biggest common factor number is the GCF number.
So the greatest common factor 42364 and 42377 is 1.

Also check out the Least Common Multiple of 42364 and 42377