What is the Greatest Common Factor of 38045 and 38052?

Greatest common factor (GCF) of 38045 and 38052 is 7.

GCF(38045,38052) = 7

We will now calculate the prime factors of 38045 and 38052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38045 and 38052.

How to find the GCF of 38045 and 38052?

We will first find the prime factorization of 38045 and 38052. After we will calculate the factors of 38045 and 38052 and find the biggest common factor number .

Step-1: Prime Factorization of 38045

Prime factors of 38045 are 5, 7, 1087. Prime factorization of 38045 in exponential form is:

38045 = 5¹ × 7¹ × 1087¹

Step-2: Prime Factorization of 38052

Prime factors of 38052 are 2, 3, 7, 151. Prime factorization of 38052 in exponential form is:

38052 = 2² × 3² × 7¹ × 151¹

Step-3: Factors of 38045

List of positive integer factors of 38045 that divides 38045 without a remainder.

1, 5, 7, 35, 1087, 5435, 7609

Step-4: Factors of 38052

List of positive integer factors of 38052 that divides 38045 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 151, 252, 302, 453, 604, 906, 1057, 1359, 1812, 2114, 2718, 3171, 4228, 5436, 6342, 9513, 12684, 19026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38045 and 38052. The biggest common factor number is the GCF number.
So the greatest common factor 38045 and 38052 is 7.

Also check out the Least Common Multiple of 38045 and 38052