What is the Greatest Common Factor of 74670 and 74690?

Greatest common factor (GCF) of 74670 and 74690 is 10.

GCF(74670,74690) = 10

We will now calculate the prime factors of 74670 and 74690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74670 and 74690.

How to find the GCF of 74670 and 74690?

We will first find the prime factorization of 74670 and 74690. After we will calculate the factors of 74670 and 74690 and find the biggest common factor number .

Step-1: Prime Factorization of 74670

Prime factors of 74670 are 2, 3, 5, 19, 131. Prime factorization of 74670 in exponential form is:

74670 = 2¹ × 3¹ × 5¹ × 19¹ × 131¹

Step-2: Prime Factorization of 74690

Prime factors of 74690 are 2, 5, 7, 11, 97. Prime factorization of 74690 in exponential form is:

74690 = 2¹ × 5¹ × 7¹ × 11¹ × 97¹

Step-3: Factors of 74670

List of positive integer factors of 74670 that divides 74670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 131, 190, 262, 285, 393, 570, 655, 786, 1310, 1965, 2489, 3930, 4978, 7467, 12445, 14934, 24890, 37335

Step-4: Factors of 74690

List of positive integer factors of 74690 that divides 74670 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 97, 110, 154, 194, 385, 485, 679, 770, 970, 1067, 1358, 2134, 3395, 5335, 6790, 7469, 10670, 14938, 37345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74670 and 74690. The biggest common factor number is the GCF number.
So the greatest common factor 74670 and 74690 is 10.

Also check out the Least Common Multiple of 74670 and 74690