What is the Greatest Common Factor of 74130 and 74150?

Greatest common factor (GCF) of 74130 and 74150 is 10.

GCF(74130,74150) = 10

We will now calculate the prime factors of 74130 and 74150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74130 and 74150.

How to find the GCF of 74130 and 74150?

We will first find the prime factorization of 74130 and 74150. After we will calculate the factors of 74130 and 74150 and find the biggest common factor number .

Step-1: Prime Factorization of 74130

Prime factors of 74130 are 2, 3, 5, 7, 353. Prime factorization of 74130 in exponential form is:

74130 = 2¹ × 3¹ × 5¹ × 7¹ × 353¹

Step-2: Prime Factorization of 74150

Prime factors of 74150 are 2, 5, 1483. Prime factorization of 74150 in exponential form is:

74150 = 2¹ × 5² × 1483¹

Step-3: Factors of 74130

List of positive integer factors of 74130 that divides 74130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 353, 706, 1059, 1765, 2118, 2471, 3530, 4942, 5295, 7413, 10590, 12355, 14826, 24710, 37065

Step-4: Factors of 74150

List of positive integer factors of 74150 that divides 74130 without a remainder.

1, 2, 5, 10, 25, 50, 1483, 2966, 7415, 14830, 37075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74130 and 74150. The biggest common factor number is the GCF number.
So the greatest common factor 74130 and 74150 is 10.

Also check out the Least Common Multiple of 74130 and 74150