What is the Greatest Common Factor of 15762 and 15770?

Greatest common factor (GCF) of 15762 and 15770 is 2.

GCF(15762,15770) = 2

We will now calculate the prime factors of 15762 and 15770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15762 and 15770.

How to find the GCF of 15762 and 15770?

We will first find the prime factorization of 15762 and 15770. After we will calculate the factors of 15762 and 15770 and find the biggest common factor number .

Step-1: Prime Factorization of 15762

Prime factors of 15762 are 2, 3, 37, 71. Prime factorization of 15762 in exponential form is:

15762 = 2¹ × 3¹ × 37¹ × 71¹

Step-2: Prime Factorization of 15770

Prime factors of 15770 are 2, 5, 19, 83. Prime factorization of 15770 in exponential form is:

15770 = 2¹ × 5¹ × 19¹ × 83¹

Step-3: Factors of 15762

List of positive integer factors of 15762 that divides 15762 without a remainder.

1, 2, 3, 6, 37, 71, 74, 111, 142, 213, 222, 426, 2627, 5254, 7881

Step-4: Factors of 15770

List of positive integer factors of 15770 that divides 15762 without a remainder.

1, 2, 5, 10, 19, 38, 83, 95, 166, 190, 415, 830, 1577, 3154, 7885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15762 and 15770. The biggest common factor number is the GCF number.
So the greatest common factor 15762 and 15770 is 2.

Also check out the Least Common Multiple of 15762 and 15770