What is the Greatest Common Factor of 70735 and 70749?

Greatest common factor (GCF) of 70735 and 70749 is 7.

GCF(70735,70749) = 7

We will now calculate the prime factors of 70735 and 70749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70735 and 70749.

How to find the GCF of 70735 and 70749?

We will first find the prime factorization of 70735 and 70749. After we will calculate the factors of 70735 and 70749 and find the biggest common factor number .

Step-1: Prime Factorization of 70735

Prime factors of 70735 are 5, 7, 43, 47. Prime factorization of 70735 in exponential form is:

70735 = 5¹ × 7¹ × 43¹ × 47¹

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 70735

List of positive integer factors of 70735 that divides 70735 without a remainder.

1, 5, 7, 35, 43, 47, 215, 235, 301, 329, 1505, 1645, 2021, 10105, 14147

Step-4: Factors of 70749

List of positive integer factors of 70749 that divides 70735 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 70735 and 70749. The biggest common factor number is the GCF number.
So the greatest common factor 70735 and 70749 is 7.

Also check out the Least Common Multiple of 70735 and 70749