What is the Greatest Common Factor of 62 and 68?
Greatest common factor (GCF) of 62 and 68 is 2.
GCF(62,68) = 2
We will now calculate the prime factors of 62 and 68, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62 and 68.
How to find the GCF of 62 and 68?
We will first find the prime factorization of 62 and 68. After we will calculate the factors of 62 and 68 and find the biggest common factor number .
Step-1: Prime Factorization of 62
Prime factors of 62 are 2, 31. Prime factorization of 62 in exponential form is:
62 = 21 × 311
Step-2: Prime Factorization of 68
Prime factors of 68 are 2, 17. Prime factorization of 68 in exponential form is:
68 = 22 × 171
Step-3: Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1, 2, 31
Step-4: Factors of 68
List of positive integer factors of 68 that divides 62 without a remainder.
1, 2, 4, 17, 34
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 62 and 68. The biggest common factor number is the GCF number.
So the greatest common factor 62 and 68 is 2.
Also check out the Least Common Multiple of 62 and 68