What is the Greatest Common Factor of 70742 and 70749?

Greatest common factor (GCF) of 70742 and 70749 is 7.

GCF(70742,70749) = 7

We will now calculate the prime factors of 70742 and 70749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70742 and 70749.

How to find the GCF of 70742 and 70749?

We will first find the prime factorization of 70742 and 70749. After we will calculate the factors of 70742 and 70749 and find the biggest common factor number .

Step-1: Prime Factorization of 70742

Prime factors of 70742 are 2, 7, 31, 163. Prime factorization of 70742 in exponential form is:

70742 = 2¹ × 7¹ × 31¹ × 163¹

Step-2: Prime Factorization of 70749

Prime factors of 70749 are 3, 7, 1123. Prime factorization of 70749 in exponential form is:

70749 = 3² × 7¹ × 1123¹

Step-3: Factors of 70742

List of positive integer factors of 70742 that divides 70742 without a remainder.

1, 2, 7, 14, 31, 62, 163, 217, 326, 434, 1141, 2282, 5053, 10106, 35371

Step-4: Factors of 70749

List of positive integer factors of 70749 that divides 70742 without a remainder.

1, 3, 7, 9, 21, 63, 1123, 3369, 7861, 10107, 23583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70742 and 70749. The biggest common factor number is the GCF number.
So the greatest common factor 70742 and 70749 is 7.

Also check out the Least Common Multiple of 70742 and 70749