What is the Greatest Common Factor of 70730 and 70740?

Greatest common factor (GCF) of 70730 and 70740 is 10.

GCF(70730,70740) = 10

We will now calculate the prime factors of 70730 and 70740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70730 and 70740.

How to find the GCF of 70730 and 70740?

We will first find the prime factorization of 70730 and 70740. After we will calculate the factors of 70730 and 70740 and find the biggest common factor number .

Step-1: Prime Factorization of 70730

Prime factors of 70730 are 2, 5, 11, 643. Prime factorization of 70730 in exponential form is:

70730 = 2¹ × 5¹ × 11¹ × 643¹

Step-2: Prime Factorization of 70740

Prime factors of 70740 are 2, 3, 5, 131. Prime factorization of 70740 in exponential form is:

70740 = 2² × 3³ × 5¹ × 131¹

Step-3: Factors of 70730

List of positive integer factors of 70730 that divides 70730 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 643, 1286, 3215, 6430, 7073, 14146, 35365

Step-4: Factors of 70740

List of positive integer factors of 70740 that divides 70730 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 131, 135, 180, 262, 270, 393, 524, 540, 655, 786, 1179, 1310, 1572, 1965, 2358, 2620, 3537, 3930, 4716, 5895, 7074, 7860, 11790, 14148, 17685, 23580, 35370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70730 and 70740. The biggest common factor number is the GCF number.
So the greatest common factor 70730 and 70740 is 10.

Also check out the Least Common Multiple of 70730 and 70740